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Rotational Symmetry of Quadrilaterals

Rotational Symmetry occurs when a shape can be rotated to land back on top of itself. Knowing whether or not quadrilaterals have rotational symmetry in important when reasoning about their attributes. Rotations are Defined by a center and an angle. The center of rotation is identified already in each quadrilateral. Use the slider (Green Point) to rotate the quadrilateral and find the angle of rotational symmetry. Click the buttons to switch between quadrilaterals be sure to answer the questions at the bottom.

List the angles of rotational symmetry for each quadrilateral. Which one has the most rotational symmetry? Why?